Simple halo model formalism for the cosmic infrared background and its correlation with the thermal Sunyaev-Zel’dovich effect

Modelling the anisotropies in CIB on all scales is a challenging task due to complex nature of galaxy evolution and thus often requires too many parameters order fit observational data. In this paper, we present new halo model for using only four parameters. Our connects mass accretion dark matter halos star formation rate. Using model, find that with maximum efficiency converting accreted baryons into stars $\log_{10}M_\mathrm{max} = {12.94}^{+0.02}_{-0.02} \: M_\odot$, consistent other studies. Accounting loss through stellar evolution, find, an intermediate age galaxy, defined as $M_\star(z)/M_b(z)$ equal 0.19 0.21 at redshift 0.1 2 respectively, good agreement values obtained by previous It first time used Planck Herschel power spectra simultaneously. However large angular scale data are not fully compatible small (for $\ell>3000$). The expected be correlated tSZ signal clusters. CIB, single parameter, also provide framework calculate cross-correlation, which no extra parameter. CIB$\times$tSZ correlation found higher when inferred combination two widely spaced frequency channels (e.g. 143x857 GHz). tSZ, act foregrounds while measuring kSZ spectrum from CMB need removed. Due its simplistic low number parameters, formalism presented here quite useful such analysis measure accurately.